109153587456 has 81 divisors (see below), whose sum is σ = 314762432439. Its totient is φ = 36379243008.

The previous prime is 109153587443. The next prime is 109153587457. The reversal of 109153587456 is 654785351901.

The square root of 109153587456 is 330384.

It is a perfect power (a square), and thus also a powerful number.

109153587456 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 5 + 3 + 587 + 4 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (109153587457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15854991 + ... + 15861873.

Almost surely, 2^109153587456 is an apocalyptic number.

109153587456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109153587456 is the 330384-th square number.

It is an amenable number.

109153587456 is an abundant number, since it is smaller than the sum of its proper divisors (205608844983).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109153587456 is an frugal number, since it uses more digits than its factorization.

109153587456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13788 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 109153587456 in words is "one hundred nine billion, one hundred fifty-three million, five hundred eighty-seven thousand, four hundred fifty-six".